Question: 110 is 275 percent of what number?

Here is a Percentage Calculator to solve similar calculations such as 110 is 275 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

is

percent of what number

Calculate

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 275 percent of the marbles are red. If there are 110 red marbles. How many marbles does he have altogether?

Answer: 40 marbles.

How To: In this problem, we know that the Percent is 275, and we are also told that the Part of the marbles is red, so we know that the Part is 110.

So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:

Part/Total = Percent/100

By using a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

If we take the "Part" and multiply it by 100, and then we divide that by the "Percent", we will get the "Total".

Let's try it out on our problem about the marbles, that's very simple and it's just two steps! We know that the "Part" (red marbles) is 110.

So step one is to just multiply that Part by 100.

110 × 100 = 11000

In step two, we take that 11000 and divide it by the "Percent", which we are told is 275.

So, 11000 divided by 275 = 40

And that means that the total number of marbles is 40.

Question: A high school marching band has 110 flute players, If 275 percent of the band members play the flute, then how many members are in the band?

Answer: There are 40 members in the band.

How To: The smaller "Part" in this problem is 110 since there are 110 flute players and we are told that they make up 275 percent of the band, so the "Percent" is 275.

Again, it's the "Total" that's missing here, and to find it, we just need to follow our 2 step procedure as the previous problem.

For step one, we multiply the "Part" by 100.

110 × 100 = 11000

For step two, we divide that 11000 by the "Percent", which is 275.

11000 divided by 275 equals 40

That means that the total number of band members is 40.

Another step by step method

Step 1: Let's assume the unknown value is Y

Step 2: First writing it as: 100% / Y = 275% / 110

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 275 / 110

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 275 / 110 ) Y

Step 5: Simplifying the right side, we get: 100 = 275 Y

Step 6: Dividing both sides of the equation by 275, we will arrive at 40 = Y

This leaves us with our final answer: 110 is 275 percent of 40

Frequently Asked Questions